stuff

README.md

@@ -1,5 +1,7 @@
 # Codewars solutions in python
 
+![](https://www.codewars.com/users/thib8956/badges/small?theme=light)
+
 ## Quickstart
 
 ```console

prime_streaming/stream.py

@@ -1,5 +1,6 @@
 import numpy as np
 
+
 def sieve_np(limit):
     if limit < 2:
         return []
@@ -17,6 +18,7 @@ def sieve_np(limit):
     primes = np.where(is_prime)[0]
     return primes.tolist()
 
+
 def sieve(max_n):
     s = [True] * (max_n + 1)
     p = 2
@@ -30,28 +32,25 @@ def sieve(max_n):
     return primes
 
 
-def sieve_of_eratosthenes(limit):
+def sieve(max_n):
-    if limit < 2:
+    s = [True] * (max_n + 1)
-        return []
-
-    # Create a boolean array "prime[0..limit]" and initialize all entries as True
-    prime = [True] * (limit + 1)
-    prime[0] = prime[1] = False  # 0 and 1 are not prime numbers
-
     p = 2
-    while p**2 <= limit:
+    while p**2 <= max_n:
-        if prime[p]:
+        if s[p]:
-            # Update all multiples of p starting from p^2
+            for i in range(p**2, max_n + 1, p):
-            prime[p**2 : limit + 1 : p] = [False] * len(prime[p**2 : limit + 1 : p])
+                s[i] = False
         p += 1
 
-    # Create a list of prime numbers
+    primes = [p for p in range(2, max_n + 1) if s[p]]
-    primes = [p for p in range(2, limit + 1) if prime[p]]
     return primes
 
 
+_primes = sieve(25_000_000)
+
+
 class Primes:
-    primes = sieve(25_000_000)
+    global _primes
+    primes = _primes
 
     @staticmethod
     def stream():